Byeon, Jaeyoung; Choi, Sun-Ho; Kim, Yeonho; Moon, Sang-Hyuck Least energy solution for a scalar field equation with a singular nonlinearity. (English) Zbl 1459.35209 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 93-109 (2021). MSC: 35J91 35J20 PDF BibTeX XML Cite \textit{J. Byeon} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 93--109 (2021; Zbl 1459.35209) Full Text: DOI OpenURL
Itakura, Kenta; Onitsuka, Masakazu; Tanaka, Satoshi Perturbations of planar quasilinear differential systems. (English) Zbl 1460.34064 J. Differ. Equations 271, 216-253 (2021). Reviewer: Olusola Akinyele (Bowie) MSC: 34D05 34D10 34C05 PDF BibTeX XML Cite \textit{K. Itakura} et al., J. Differ. Equations 271, 216--253 (2021; Zbl 1460.34064) Full Text: DOI OpenURL
Bobkov, Vladimir; Drábek, Pavel; Hernández, Jesús Existence and multiplicity results for a class of semilinear elliptic equations. (English) Zbl 1453.35099 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112017, 24 p. (2020). MSC: 35J91 35A01 35A02 35B09 PDF BibTeX XML Cite \textit{V. Bobkov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112017, 24 p. (2020; Zbl 1453.35099) Full Text: DOI arXiv OpenURL
Albalawi, Wedad; Mercuri, Carlo; Moroz, Vitaly Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\). (English) Zbl 1437.35400 Ann. Mat. Pura Appl. (4) 199, No. 1, 23-63 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J92 35B09 PDF BibTeX XML Cite \textit{W. Albalawi} et al., Ann. Mat. Pura Appl. (4) 199, No. 1, 23--63 (2020; Zbl 1437.35400) Full Text: DOI arXiv OpenURL
Díaz, J. I.; Hernández, J.; Ilyasov, Y. Sh. On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets. (English) Zbl 1433.35133 Adv. Nonlinear Anal. 9, 1046-1065 (2020). MSC: 35J91 35J25 PDF BibTeX XML Cite \textit{J. I. Díaz} et al., Adv. Nonlinear Anal. 9, 1046--1065 (2020; Zbl 1433.35133) Full Text: DOI arXiv OpenURL
Bourget, Olivier; Courdurier, Matias; Fernández, Claudio Construction of solutions for some localized nonlinear Schrödinger equations. (English) Zbl 1411.35094 Discrete Contin. Dyn. Syst. 39, No. 2, 841-862 (2019). MSC: 35J10 35Q55 PDF BibTeX XML Cite \textit{O. Bourget} et al., Discrete Contin. Dyn. Syst. 39, No. 2, 841--862 (2019; Zbl 1411.35094) Full Text: DOI OpenURL
Lima, Pedro M.; Bellour, Azzeddine; Bulatov, Mikhail V. Numerical solution of integro-differential equations arising from singular boundary value problems. (English) Zbl 1427.65108 Appl. Math. Comput. 336, 1-15 (2018). MSC: 65L05 34B40 45J05 65R20 65L10 34B16 PDF BibTeX XML Cite \textit{P. M. Lima} et al., Appl. Math. Comput. 336, 1--15 (2018; Zbl 1427.65108) Full Text: DOI OpenURL
Lima, P. M.; Morgado, M. L.; Schöbinger, M.; Weinmüller, E. B. A novel computational approach to singular free boundary problems in ordinary differential equations. (English) Zbl 1357.65100 Appl. Numer. Math. 114, 97-107 (2017). MSC: 65L10 34B16 65L60 65L12 PDF BibTeX XML Cite \textit{P. M. Lima} et al., Appl. Numer. Math. 114, 97--107 (2017; Zbl 1357.65100) Full Text: DOI OpenURL
Tersenov, Ar. S. Existence of radially symmetric solutions of the inhomogeneous \(p\)-Laplace equation. (English. Russian original) Zbl 1361.35062 Sib. Math. J. 57, No. 5, 918-928 (2016); translation from Sib. Mat. Zh. 57, No. 5, 1171-1183 (2016). Reviewer: Ilia V. Boikov (Penza) MSC: 35J60 35J25 PDF BibTeX XML Cite \textit{Ar. S. Tersenov}, Sib. Math. J. 57, No. 5, 918--928 (2016; Zbl 1361.35062); translation from Sib. Mat. Zh. 57, No. 5, 1171--1183 (2016) Full Text: DOI OpenURL
Troy, William C. Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation. (English) Zbl 1348.35247 Arch. Ration. Mech. Anal. 222, No. 3, 1581-1600 (2016). MSC: 35Q55 34B15 PDF BibTeX XML Cite \textit{W. C. Troy}, Arch. Ration. Mech. Anal. 222, No. 3, 1581--1600 (2016; Zbl 1348.35247) Full Text: DOI OpenURL
Mandel, Rainer Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems. (English) Zbl 1334.35319 Adv. Nonlinear Stud. 16, No. 1, 95-113 (2016). MSC: 35Q55 35J47 35J50 35B32 PDF BibTeX XML Cite \textit{R. Mandel}, Adv. Nonlinear Stud. 16, No. 1, 95--113 (2016; Zbl 1334.35319) Full Text: DOI arXiv OpenURL
Bulatov, M. V.; Lima, P. M.; Do Tien, Thanh An integral method for the numerical solution of nonlinear singular boundary value problems. (English) Zbl 1338.65282 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 4, 5-13 (2015). MSC: 65R20 45D05 45G05 45J05 65L10 34B16 PDF BibTeX XML Cite \textit{M. V. Bulatov} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 8, No. 4, 5--13 (2015; Zbl 1338.65282) Full Text: DOI OpenURL
Farina, Alberto Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems. (English) Zbl 1335.35054 Discrete Contin. Dyn. Syst. 35, No. 12, 5869-5877 (2015). MSC: 35J50 35B53 35J47 35Q60 PDF BibTeX XML Cite \textit{A. Farina}, Discrete Contin. Dyn. Syst. 35, No. 12, 5869--5877 (2015; Zbl 1335.35054) Full Text: DOI arXiv OpenURL
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar Multiplicity results for sign changing bound state solutions of a semilinear equation. (English) Zbl 1327.35107 J. Differ. Equations 259, No. 12, 7108-7134 (2015). Reviewer: Xavier Lamy (Leipzig) MSC: 35J61 PDF BibTeX XML Cite \textit{C. Cortázar} et al., J. Differ. Equations 259, No. 12, 7108--7134 (2015; Zbl 1327.35107) Full Text: DOI arXiv OpenURL
Cortázar, Carmen; Dolbeault, Jean; García-Huidobro, Marta; Manásevich, Rául Existence of sign changing solutions for an equation with a weighted \(p\)-Laplace operator. (English) Zbl 1322.34034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 1-22 (2014). Reviewer: Alessandro Calamai (Ancona) MSC: 34B15 34B40 34C10 35B05 PDF BibTeX XML Cite \textit{C. Cortázar} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 1--22 (2014; Zbl 1322.34034) Full Text: DOI arXiv OpenURL
Tersenov, Ar. S. On sufficient conditions for the existence of radially symmetric solutions of the \(p\)-Laplace equation. (English) Zbl 1285.35016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 362-373 (2014). MSC: 35J25 35J70 35B45 35D30 PDF BibTeX XML Cite \textit{Ar. S. Tersenov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 362--373 (2014; Zbl 1285.35016) Full Text: DOI OpenURL
de Almeida Maia, Liliane; Montefusco, Eugenio; Pellacci, Benedetta Weakly coupled nonlinear Schrödinger systems: the saturation effect. (English) Zbl 1257.35171 Calc. Var. Partial Differ. Equ. 46, No. 1-2, 325-351 (2013). MSC: 35Q55 35Q60 35B09 PDF BibTeX XML Cite \textit{L. de Almeida Maia} et al., Calc. Var. Partial Differ. Equ. 46, No. 1--2, 325--351 (2013; Zbl 1257.35171) Full Text: DOI OpenURL
Lima, P. M.; Morgado, M. L. Efficient computational methods for singular free boundary problems using smoothing variable substitutions. (English) Zbl 1237.65114 J. Comput. Appl. Math. 236, No. 12, 2981-2989 (2012). MSC: 65N06 PDF BibTeX XML Cite \textit{P. M. Lima} and \textit{M. L. Morgado}, J. Comput. Appl. Math. 236, No. 12, 2981--2989 (2012; Zbl 1237.65114) Full Text: DOI OpenURL
Franca, Matteo Radial ground states and singular ground states for a spatial-dependent \(p\)-Laplace equation. (English) Zbl 1195.35156 J. Differ. Equations 248, No. 11, 2629-2656 (2010). MSC: 35J70 35J10 35B65 PDF BibTeX XML Cite \textit{M. Franca}, J. Differ. Equations 248, No. 11, 2629--2656 (2010; Zbl 1195.35156) Full Text: DOI OpenURL
Morgado, L.; Lima, P. Numerical solution of a class of singular free boundary problems involving the \(m\)-Laplace operator. (English) Zbl 1193.65131 J. Comput. Appl. Math. 234, No. 9, 2838-2847 (2010). MSC: 65L10 65L05 PDF BibTeX XML Cite \textit{L. Morgado} and \textit{P. Lima}, J. Comput. Appl. Math. 234, No. 9, 2838--2847 (2010; Zbl 1193.65131) Full Text: DOI OpenURL
Castorina, D. Uniqueness of positive radial solutions for quasilinear elliptic equations in an annulus. (English) Zbl 1184.35144 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2195-2203 (2010). MSC: 35J70 35B05 35B65 35J92 PDF BibTeX XML Cite \textit{D. Castorina}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2195--2203 (2010; Zbl 1184.35144) Full Text: DOI OpenURL
Jeanjean, Louis; Squassina, Marco Existence and symmetry of least energy solutions for a class of quasi-linear elliptic equations. (English) Zbl 1176.35081 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1701-1716 (2009). MSC: 35J62 35J40 58E05 35B06 35J35 PDF BibTeX XML Cite \textit{L. Jeanjean} and \textit{M. Squassina}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1701--1716 (2009; Zbl 1176.35081) Full Text: DOI arXiv EuDML OpenURL
Pucci, Patrizia; Servadei, Raffaella Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights. (English) Zbl 1147.35045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 505-537 (2008). Reviewer: Marco Biroli (Milano) MSC: 35J70 35J20 35B65 PDF BibTeX XML Cite \textit{P. Pucci} and \textit{R. Servadei}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 505--537 (2008; Zbl 1147.35045) Full Text: DOI EuDML OpenURL
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. Efficient numerical solution of the density profile equation in hydrodynamics. (English) Zbl 1178.76280 J. Sci. Comput. 32, No. 3, 411-424 (2007). MSC: 76M25 76T10 PDF BibTeX XML Cite \textit{G. Kitzhofer} et al., J. Sci. Comput. 32, No. 3, 411--424 (2007; Zbl 1178.76280) Full Text: DOI Link OpenURL
Palamides, Alex P.; Yannopoulos, Theodoros G. Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states. (English) Zbl 1153.34323 Bound. Value Probl. 2006, Article ID 28719, 28 p. (2006). MSC: 34B16 34B40 34B60 PDF BibTeX XML Cite \textit{A. P. Palamides} and \textit{T. G. Yannopoulos}, Bound. Value Probl. 2006, Article ID 28719, 28 p. (2006; Zbl 1153.34323) Full Text: DOI EuDML OpenURL
Lima, P. M.; Konyukhova, N. B.; Sukov, A. I.; Chemetov, N. V. Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems. (English) Zbl 1100.65066 J. Comput. Appl. Math. 189, No. 1-2, 260-273 (2006). Reviewer: Roland Pulch (Wuppertal) MSC: 65L10 34B16 PDF BibTeX XML Cite \textit{P. M. Lima} et al., J. Comput. Appl. Math. 189, No. 1--2, 260--273 (2006; Zbl 1100.65066) Full Text: DOI OpenURL
Guo, Zongming Exact multiplicity for some quasilinear elliptic Dirichlet problems where the non-linearity changes sign. (English) Zbl 1073.35047 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1135-1155 (2005). Reviewer: Marlène Frigon (Montréal) MSC: 35B45 35J40 PDF BibTeX XML Cite \textit{Z. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 7, 1135--1155 (2005; Zbl 1073.35047) Full Text: DOI OpenURL
Brock, F. Positivity and radial symmetry of solutions to some variational problems in \(\mathbb R^N\). (English) Zbl 1067.49017 J. Math. Anal. Appl. 296, No. 1, 226-243 (2004). Reviewer: Gary M. Lieberman (Ames) MSC: 49K10 35J50 35J60 PDF BibTeX XML Cite \textit{F. Brock}, J. Math. Anal. Appl. 296, No. 1, 226--243 (2004; Zbl 1067.49017) Full Text: DOI OpenURL
Franca, Matteo; Johnson, Russell Ground states and singular ground states for quasilinear partial differential equations with critical exponent in the perturbative case. (English) Zbl 1045.35027 Adv. Nonlinear Stud. 4, No. 1, 93-120 (2004). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35B33 35J70 PDF BibTeX XML Cite \textit{M. Franca} and \textit{R. Johnson}, Adv. Nonlinear Stud. 4, No. 1, 93--120 (2004; Zbl 1045.35027) Full Text: DOI OpenURL
Ferrero, Alberto; Gazzola, Filippo Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. III. (English) Zbl 1046.35043 J. Differ. Equations 198, No. 1, 53-90 (2004). Reviewer: Dian K. Palagachev (Bari) MSC: 35J70 35B40 35J60 34A12 PDF BibTeX XML Cite \textit{A. Ferrero} and \textit{F. Gazzola}, J. Differ. Equations 198, No. 1, 53--90 (2004; Zbl 1046.35043) Full Text: DOI OpenURL
Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. (English) Zbl 1086.35041 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 6, 947-974 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B25 35B40 PDF BibTeX XML Cite \textit{F. Gazzola} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 6, 947--974 (2003; Zbl 1086.35041) Full Text: DOI Numdam EuDML OpenURL
Guo, Zongming On the shape of the nonnegative solutions to a singularly perturbed quasilinear Dirichlet problem. (English) Zbl 1030.35087 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 6, 657-668 (2003). Reviewer: Lubomira Softova (Bari) MSC: 35J70 35J25 35B25 35B50 PDF BibTeX XML Cite \textit{Z. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 6, 657--668 (2003; Zbl 1030.35087) Full Text: DOI OpenURL
Gazzola, Filippo; Serrin, James Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. (English) Zbl 1013.35031 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 4, 477-504 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35J60 35B40 35B30 PDF BibTeX XML Cite \textit{F. Gazzola} and \textit{J. Serrin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 4, 477--504 (2002; Zbl 1013.35031) Full Text: DOI Numdam EuDML OpenURL
Gazzola, Filippo On radially symmetric minima of nonconvex functionals. (English) Zbl 0983.49001 J. Math. Anal. Appl. 258, No. 2, 490-511 (2001). Reviewer: R.Schianchi (Roma) MSC: 49J10 PDF BibTeX XML Cite \textit{F. Gazzola}, J. Math. Anal. Appl. 258, No. 2, 490--511 (2001; Zbl 0983.49001) Full Text: DOI Link OpenURL
Tang, Moxun Existence and uniqueness of fast decay entire solutions of quasilinear elliptic equations. (English) Zbl 0961.34007 J. Differ. Equations 164, No. 1, 155-179 (2000). Reviewer: Rudolf Kodnár (Bratislava) MSC: 34B15 35J60 35B40 35B05 PDF BibTeX XML Cite \textit{M. Tang}, J. Differ. Equations 164, No. 1, 155--179 (2000; Zbl 0961.34007) Full Text: DOI Link OpenURL
García-Huidobro, Marta; Manásevich, Raúl; Serrin, James; Tang, Moxun; Yarur, Cecilia S. Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space. (English) Zbl 0996.35019 J. Funct. Anal. 172, No. 1, 177-201 (2000). MSC: 35J40 35R35 35B05 PDF BibTeX XML Cite \textit{M. García-Huidobro} et al., J. Funct. Anal. 172, No. 1, 177--201 (2000; Zbl 0996.35019) Full Text: DOI OpenURL